If the length of a rectangle is 3 more than the breadth and perimeter is 21. Find the length of rectangle....please tell me answer I will mark you as the brainliest
Answers
Answer:
- 27/4 is the required length of the rectangle.
Step-by-step explanation:
According to the Question
It is given that ,
- length of a rectangle is 3 more than the breadth.
- Perimeter is 21.
Let the breadth be x
Then, its length will be (x+3)
we have to calculate length of rectangle .
As we know that Perimeter of rectangle is calculated by
- Perimeter of Rectangle = 2 ( Length + breadth)
By putting the value we get
➻ 21 = 2 ( x + x +3)
➻ 21 = 2(2x+3)
➻ 21 = 4x + 6
➻ 21 -6 = 4x
➻ 15 = 4x
➻ x = 15/4
Here, the breadth is 15/4 units.
So, Length will be
➻ Length = 15/4 + 3
➻ Length = 15+12/4
➻ Length = 27/4 units
- Hence, the length of the rectangle is 27/4 .
Given : If the length of a rectangle is 3 more than the breadth and perimeter is 21. Find the length of rectangle.
★ Cσɴᴄᴇᴘᴛ :
❒ Here, according to the problem we have been provided that the Length is 3 more than the Breadth for which the perimeter becomes 21. So, here first we have to assume the Breadth. Let's say it as B. Then as the Length is three more than Breadth, the length will be 3 + B after which applying perimeter formula we'll get the breadth and from there we can find the length
★ Aɴsᴡᴇʀ :
Let us assume the Breadth be B
According to the question,
Length is three more than the Breadth which means 3 + B
Perimeter is 21 units
(As no unit has been provided so let's take it in terms of units)
✬ Perimeter = 2(Length + Breadth) ✬
Putting all the required values
➙ 21 units = 2(3 + B + B)
➙ 21 units = 2(3 + 2B)
➙ 21 units = 6 units + 4B
➙ 4B = 21 units - 6 units
➙ 4B = 15 units
➙ B = 15/4 units
➙ B = 3.75 units
★ Fɪɴᴅɪɴɢ Lᴇɴɢᴛʜ :
- Breadth = B = 3.75 units
- Length = 3 + B = 3 + 3.75 units = 6.75 units
∴ The Length is 6.75 units which is the required answer